SOLUTION: Find the value of x for which (2+x)⁴=16 + 16x + x⁴ Could I be shown this step by step please ''.

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Question 1030034: Find the value of x for which (2+x)⁴=16 + 16x + x⁴
Could I be shown this step by step please ''.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the value of x for which (2+x)⁴=16 + 16x + x⁴
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4C4*2^4 + 4C3*2^3x + 4C2*2^2*x^2 + 4C1*2*x^3 + 4C0*x^4 = 16 + 16x + x^4
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16 + 32x + 24x^2 + 8x^3 + x^4 = 16 +16x+x^4
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16x + 24x^2 + 8x^3 = 0
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8x(2 + 3x + x^2) = 0
8x(x+2)(x+1) = 0
x = 0 or x = -1 or x = -2
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Cheers,
Stan H.
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